Abstract
Recently two of the authors proposed a mechanism of vacuum energy sequester as a means of protecting the observable cosmological constant from quantum radiative corrections. The original proposal was based on using global Lagrange multipliers, but later a local formulation was provided. Subsequently other interesting claims of a different non-local approach to the cosmological constant problem were made, based again on global Lagrange multipliers. We examine some of these proposals and find their mutual relationship. We explain that the proposals which do not treat the cosmological constant counterterm as a dynamical variable require fine tunings to have acceptable solutions. Furthermore, the counterterm often needs to be retuned at every order in the loop expansion to cancel the radiative corrections to the cosmological constant, just like in standard GR. These observations are an important reminder of just how the proposal of vacuum energy sequester avoids such problems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Kaloper and A. Padilla, Sequestering the standard model vacuum energy, Phys. Rev. Lett. 112 (2014) 091304 [arXiv:1309.6562] [INSPIRE].
N. Kaloper and A. Padilla, Vacuum energy sequestering: the framework and its cosmological consequences, Phys. Rev. D 90 (2014) 084023 [arXiv:1406.0711] [INSPIRE].
N. Kaloper and A. Padilla, Vacuum energy sequestering and graviton loops, Phys. Rev. Lett. 118 (2017) 061303 [arXiv:1606.04958] [INSPIRE].
Y.B. Zeldovich, Cosmological constant and elementary particles, JETP Lett. 6 (1967) 316 [Pisma Zh. Eksp. Teor. Fiz. 6 (1967) 883] [INSPIRE].
F. Wilczek, Foundations and working pictures in microphysical cosmology, Phys. Rept. 104 (1984) 143 [INSPIRE].
S.E. Rugh and H. Zinkernagel, The quantum vacuum and the cosmological constant problem, Stud. Hist. Phil. Sci. B 33 (2002) 663 [hep-th/0012253] [INSPIRE].
S. Weinberg, The cosmological constant problem, Rev. Mod. Phys. 61 (1989) 1 [INSPIRE].
A. Padilla, Lectures on the cosmological constant problem, arXiv:1502.05296 [INSPIRE].
E.K. Akhmedov, Vacuum energy and relativistic invariance, hep-th/0204048 [INSPIRE].
G. Ossola and A. Sirlin, Considerations concerning the contributions of fundamental particles to the vacuum energy density, Eur. Phys. J. C 31 (2003) 165 [hep-ph/0305050] [INSPIRE].
J.L. Anderson and D. Finkelstein, Cosmological constant and fundamental length, Am. J. Phys. 39 (1971) 901 [INSPIRE].
W. Buchmüller and N. Dragon, Einstein gravity from restricted coordinate invariance, Phys. Lett. B 207 (1988) 292 [INSPIRE].
W. Buchmüller and N. Dragon, Gauge fixing and the cosmological constant, Phys. Lett. B 223 (1989) 313 [INSPIRE].
M. Henneaux and C. Teitelboim, The cosmological constant and general covariance, Phys. Lett. B 222 (1989) 195 [INSPIRE].
W.G. Unruh, A unimodular theory of canonical quantum gravity, Phys. Rev. D 40 (1989) 1048 [INSPIRE].
Y.J. Ng and H. van Dam, Possible solution to the cosmological constant problem, Phys. Rev. Lett. 65 (1990) 1972 [INSPIRE].
K.V. Kuchar, Does an unspecified cosmological constant solve the problem of time in quantum gravity?, Phys. Rev. D 43 (1991) 3332 [INSPIRE].
A. Padilla and I.D. Saltas, A note on classical and quantum unimodular gravity, Eur. Phys. J. C 75 (2015) 561 [arXiv:1409.3573] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos, G. Dvali and G. Gabadadze, Nonlocal modification of gravity and the cosmological constant problem, hep-th/0209227 [INSPIRE].
N. Kaloper, A. Padilla, D. Stefanyszyn and G. Zahariade, Manifestly local theory of vacuum energy sequestering, Phys. Rev. Lett. 116 (2016) 051302 [arXiv:1505.01492] [INSPIRE].
A.A. Tseytlin, Duality symmetric string theory and the cosmological constant problem, Phys. Rev. Lett. 66 (1991) 545 [INSPIRE].
A.D. Linde, The universe multiplication and the cosmological constant problem, Phys. Lett. B 200 (1988) 272 [INSPIRE].
G. Gabadadze, The big constant out, the small constant in, Phys. Lett. B 739 (2014) 263 [arXiv:1406.6701] [INSPIRE].
I. Ben-Dayan, R. Richter, F. Ruehle and A. Westphal, Vacuum energy sequestering and conformal symmetry, JCAP 05 (2016) 002 [arXiv:1507.04158] [INSPIRE].
S.M. Carroll and G.N. Remmen, A nonlocal approach to the cosmological constant problem, Phys. Rev. D 95 (2017) 123504 [arXiv:1703.09715] [INSPIRE].
F.R. Klinkhamer and G.E. Volovik, Dynamic vacuum variable and equilibrium approach in cosmology, Phys. Rev. D 78 (2008) 063528 [arXiv:0806.2805] [INSPIRE].
N. Kaloper and L. Sorbo, A natural framework for chaotic inflation, Phys. Rev. Lett. 102 (2009) 121301 [arXiv:0811.1989] [INSPIRE].
N. Kaloper, A. Lawrence and L. Sorbo, An ignoble approach to large field inflation, JCAP 03 (2011) 023 [arXiv:1101.0026] [INSPIRE].
N. Kaloper and A. Lawrence, London equation for monodromy inflation, Phys. Rev. D 95 (2017) 063526 [arXiv:1607.06105] [INSPIRE].
I. Oda, Manifestly local formulation of nonlocal approach to the cosmological constant problem, Phys. Rev. D 95 (2017) 104020 [arXiv:1704.05619] [INSPIRE].
S.R. Coleman, Why there is nothing rather than something: a theory of the cosmological constant, Nucl. Phys. B 310 (1988) 643 [INSPIRE].
I.R. Klebanov, L. Susskind and T. Banks, Wormholes and the cosmological constant, Nucl. Phys. B 317 (1989) 665 [INSPIRE].
J. Polchinski, Decoupling versus excluded volume or return of the giant wormholes, Nucl. Phys. B 325 (1989) 619 [INSPIRE].
L. Smolin, The quantization of unimodular gravity and the cosmological constant problems, Phys. Rev. D 80 (2009) 084003 [arXiv:0904.4841] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos, N. Kaloper and R. Sundrum, A small cosmological constant from a large extra dimension, Phys. Lett. B 480 (2000) 193 [hep-th/0001197] [INSPIRE].
S. Kachru, M.B. Schulz and E. Silverstein, Selftuning flat domain walls in 5D gravity and string theory, Phys. Rev. D 62 (2000) 045021 [hep-th/0001206] [INSPIRE].
N. Kaloper, A. Padilla and D. Stefanyszyn, Sequestering effects on and of vacuum decay, Phys. Rev. D 94 (2016) 025022 [arXiv:1604.04000] [INSPIRE].
N. Kaloper and A. Padilla, Sequestration of vacuum energy and the end of the universe, Phys. Rev. Lett. 114 (2015) 101302 [arXiv:1409.7073] [INSPIRE].
R. Bousso and J. Polchinski, Quantization of four form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134] [INSPIRE].
A. Arvanitaki, S. Dimopoulos, V. Gorbenko, J. Huang and K. Tilburg, A small weak scale from a small cosmological constant, JHEP 05 (2017) 071 [arXiv:1609.06320] [INSPIRE].
S. Kachru, J. Kumar and E. Silverstein, Vacuum energy cancellation in a nonsupersymmetric string, Phys. Rev. D 59 (1999) 106004 [hep-th/9807076] [INSPIRE].
S. Kachru and E. Silverstein, On vanishing two loop cosmological constants in nonsupersymmetric strings, JHEP 01 (1999) 004 [hep-th/9810129] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1705.08950
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
D’Amico, G., Kaloper, N., Padilla, A. et al. An étude on global vacuum energy sequester. J. High Energ. Phys. 2017, 74 (2017). https://doi.org/10.1007/JHEP09(2017)074
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2017)074